This study explores minimal trails in directed acyclic graphs, revealing implications for copula-based Bayesian Networks.
In this paper, the properties of minimal trails in a directed acyclic graph that is restricted not to contain an active cycle are studied. We are motivated by an application of the results in the copula-based Bayesian Network model developed recently. We propose a partial order on the set of trails activated by a certain subset of nodes, and show that every minimal trail, according to such an order, has a simple structure.
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Derumigny et al. (2025) studied this question.
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